Answer:
Explanation:
Given that,
Spring constant k=200N/m
Compression x = 15cm = 0.15m
Attached mass m =2kg
Coefficient of kinetic friction uk= 0.2
The energy in the spring is given as
U =½kx²
U = ½ × 200 × 0.15²
U = 2.25J
Force in the spring is given by Hooke's law
F = ke
F = 200×0.15
F = 30N
The weight of body which is equal to the normal is give as
W = mg
W = 2 × 9.81
W = 19.62N
W = N = 19.62 Newton's 2nd Law
From law of friction,
Fr = uk•N
Fr = 0.2 × 19.62
Fr = 3.924
Using newton second law again
Fnet = F - Fr
Fnet = 30 - 3.924
Fnet = 26.076
Work done by net force is given as
W = Fnet × d
W = 26.076d
Then, the work done by this net force is equal to the energy in the spring
W = U
26.076d = 2.25
d = 2.25/26.076
d = 0.0863m
Which is 8.63cm
So the box will slide 8.63cm before stopping
It was Niels Bohr who proposed it
Answer:
Temperature when sound wave with wavelength 0.47m has frequency 741 hz is 188 degrees Centigrade.
Step-by-Step Explanation:
Given:
Speed of sound at 0 degrees centigrade = 235 ms
frequency = f = 741 hz
wavelength = w = 0.47m
speed of sound wave = wavelength * frequency = 741 * 0.47 = 348.27 m/s
Using the formula for speed of sound at a specific temperature:
Speed of sound at T degrees Centigrade = Speed of sound at 0 degrees + 0.6 * T
When speed of sound is 348 m/s, the temperature is given by:
348 = 235 + 0.6(T)
T = (348-235)/0.6
T = 188 degrees Centigrade